When a ball is thrown up into the air, the function h(t) = −16t2 + 72t

Question

gives the height h
in feet of the ball t
seconds after it has been thrown. Find the height of the ball 4 seconds after it has been thrown. (1 point)
Responses

Answer 1

To find the height of the ball 4 seconds after it has been thrown, we can substitute t = 4 into the given function:

h(4) = -16(4)^2 + 72(4)
= -16(16) + 288
= -256 + 288
= 32

Therefore, the height of the ball 4 seconds after it has been thrown is 32 feet.

Answer 2

Question
When a ball is thrown up into the air, the function h(t) = −16t2 + 72t
gives the height h
in feet of the ball t
seconds after it has been thrown. What does h(9)
represent? (1 point)
Responses

Answer 3

To find what h(9) represents, we can substitute t = 9 into the given function:

h(9) = -16(9)^2 + 72(9)
= -16(81) + 648
= -1296 + 648
= -648

Therefore, h(9) represents the height of the ball 9 seconds after it has been thrown, which is -648 feet.

Answer 4

The function B(t) = 300(2)t
gives the number of bacteria after t
hours. How many bacteria exist after 5 hours? (1 point)
Responses

Answer 5

To find the number of bacteria after 5 hours, we can substitute t = 5 into the given function:

B(5) = 300(2)^5
= 300(2^5)
= 300(32)
= 9600

Therefore, there are 9600 bacteria after 5 hours.